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On the frobenius morphism and mori theory
2019
This dissertation explores the interplay between the Frobenius morphism and the geometry of algebraic varieties. Firstly, it partakes in the development of the positive characteristic Minimal Model Program, with the outcomes of this part comprising: a counterexample to a question posed by Patakfalvi, Schwede, and Tucker on global F-regularity of log Fano varieties, the establishment of new vanishing results on log del Pezzo surfaces, the proof of rationality of Kawamata log terminal
doi:10.25560/67926
fatcat:u7cw27buszefzm3fs42pp4kkuq